What type of quadrilateral has four sides of equal length, but angles may not be right angles?

What type of quadrilateral has four sides of equal length, but angles may not be right angles?

• A. Square
• B. Rectangle
• C. Trapezoid
• D. Rhombus

Answer: (D)

A quadrilateral with four sides of equal length is defined as a rhombus. In a rhombus, while all sides are congruent, the angles can be acute or obtuse, meaning they are not constrained to be right angles. This allows for greater flexibility in the shape compared to other quadrilaterals. A square, for instance, is a specific type of rhombus where all angles are right angles, and a rectangle also has equal opposite sides but requires right angles, which disqualifies it from matching the description given. Similarly, a trapezoid has only one pair of parallel sides and does not have to adhere to the equal side length constraint. Thus, the characteristics of a rhombus distinctly align with the question's stipulation of four equal sides without the necessity of right angles.

A quadrilateral with four sides of equal length is defined as a rhombus. In a rhombus, while all sides are congruent, the angles can be acute or obtuse, meaning they are not constrained to be right angles. This allows for greater flexibility in the shape compared to other quadrilaterals.

A square, for instance, is a specific type of rhombus where all angles are right angles, and a rectangle also has equal opposite sides but requires right angles, which disqualifies it from matching the description given. Similarly, a trapezoid has only one pair of parallel sides and does not have to adhere to the equal side length constraint. Thus, the characteristics of a rhombus distinctly align with the question's stipulation of four equal sides without the necessity of right angles.